73142300 has 216 divisors, whose sum is σ = 213736320. Its totient is φ = 21436800.

The previous prime is 73142297. The next prime is 73142309. The reversal of 73142300 is 324137.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73142309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1239671 + ... + 1239729.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^73142300 is an apocalyptic number.

73142300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

73142300 is an abundant number, since it is smaller than the sum of its proper divisors (140594020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73142300 is a wasteful number, since it uses less digits than its factorization.

73142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 73142300 is about 8552.3271686717. The cubic root of 73142300 is about 418.2053050050.

Adding to 73142300 its reverse (324137), we get a palindrome (73466437).

It can be divided in two parts, 7 and 3142300, that multiplied together give a square (21996100 = 4690²).

The spelling of 73142300 in words is "seventy-three million, one hundred forty-two thousand, three hundred".